Tableaux for some deontic logics with the explicit permission operator
Bulletin of the Section of Logic 51 (2):281-295 (2022)
Abstract
In this paper we present a tableau system for deontic logics with the operator of explicit permission. By means of this system the decidability of the considered logics can be proved. We will sketch how these logics are semantically defined by means of relating semantics and how they provide a simple solution to the free choice permission problem. In short, these logics employ relating implication and a certain propositional constant. These two are in turn used to define deontic operators similarly as in Andersonian-Kangerian reduction, which uses different intensional implications and constants.Author Profiles
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References found in this work
On Logic of Strictly-Deontic Modalities. A Semantic and Tableau Approach.Tomasz Jarmużek & Mateusz Klonowski - 2020 - Logic and Logical Philosophy 29 (3):335–380.
A reduction of deontic logic to alethic modal logic.Alan Ross Anderson - 1958 - Mind 67 (265):100-103.
Free choice effects and exclusive disjunction.Melissa Fusco - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy:1-15.